Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 66, 772, 173, 740 i.e. 1 largest integer that divides all the numbers equally.
GCD of 66, 772, 173, 740 is 1
GCD(66, 772, 173, 740) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 66, 772, 173, 740 is 1
GCD(66, 772, 173, 740) = 1
Given Input numbers are 66, 772, 173, 740
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 173
List of positive integer divisors of 173 that divides 173 without a remainder.
1, 173
Divisors of 740
List of positive integer divisors of 740 that divides 740 without a remainder.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Greatest Common Divisior
We found the divisors of 66, 772, 173, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 772, 173, 740 is 1.
Therefore, GCD of numbers 66, 772, 173, 740 is 1
Given Input Data is 66, 772, 173, 740
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 173 is 173
Prime Factorization of 740 is 2 x 2 x 5 x 37
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(66, 772) = 25476
GCD(66, 772) = ( 66 x 772 ) / 25476
GCD(66, 772) = 50952 / 25476
GCD(66, 772) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 173
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 173) = 346
GCD(2, 173) = ( 2 x 173 ) / 346
GCD(2, 173) = 346 / 346
GCD(2, 173) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 740
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 740) = 740
GCD(1, 740) = ( 1 x 740 ) / 740
GCD(1, 740) = 740 / 740
GCD(1, 740) = 1
GCD of 66, 772, 173, 740 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 66, 772, 173, 740?
GCD of 66, 772, 173, 740 is 1
2. Where do I get the detailed procedure to find GCD of 66, 772, 173, 740?
You can find a detailed procedure to find GCD of 66, 772, 173, 740 on our page.
3. How to find GCD of 66, 772, 173, 740 on a calculator?
You can find the GCD of 66, 772, 173, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.